Discretized model for diffusión of a chain in a square lattice

G. TERRANOVA, H.O. MÁRTIN, Y C.M. ALDAO

Mar del Plata, Argentina

Congreso; PASI 2006: Disorder and Complexity (Pan American Advanced Studies Institute); 2006

The motion of a chain of N beads is studied to determine its diffusion coeficient in two dimensions. We present an extension of a recently introduced one-dimensional hard core repton model that represents the behavior of a linear and flexible polymer in a gel. The cases of noninteracting and self avoiding chains are considered. For both cases, an analytical expression for the diffusion coefficient is proposed for all N. The validity of this approximation is verified by means of Monte Carlo simulations.